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Answer :
To find the product of 137 and 29, you simply multiply the two numbers together. Here's how you do it step-by-step:
1. Write the numbers in a column:
- Place 137 on top and 29 below it, aligning the digits to the right.
2. Multiply by the ones digit of the bottom number (9 in 29):
- Multiply 9 by each digit of 137, starting from the right.
- [tex]\(9 \times 7 = 63\)[/tex]. Write down 3 and carry over 6.
- [tex]\(9 \times 3 = 27\)[/tex]. Add the carry-over 6, giving 33. Write down 3 and carry over 3.
- [tex]\(9 \times 1 = 9\)[/tex]. Add the carry-over 3, giving 12. Write down 12.
- This gives you the first partial product: 1233.
3. Multiply by the tens digit of the bottom number (2 in 29):
- Move one position to the left, because you're now multiplying by a tens digit.
- Multiply 2 by each digit of 137, starting from the right.
- [tex]\(2 \times 7 = 14\)[/tex]. Write down 4 and carry over 1.
- [tex]\(2 \times 3 = 6\)[/tex]. Add the carry-over 1, giving 7. Write down 7.
- [tex]\(2 \times 1 = 2\)[/tex]. Write down 2.
- This gives you the second partial product: 2740.
4. Add the partial products:
- Align and add the numbers obtained from each multiplication:
- [tex]\[
\begin{array}{c}
\phantom{1}1233 \\
+\, 2740 \\
\hline
3973 \\
\end{array}
\][/tex]
- Ensure each digit is added correctly under both partial products.
5. The result: The product of 137 and 29 is 3973.
1. Write the numbers in a column:
- Place 137 on top and 29 below it, aligning the digits to the right.
2. Multiply by the ones digit of the bottom number (9 in 29):
- Multiply 9 by each digit of 137, starting from the right.
- [tex]\(9 \times 7 = 63\)[/tex]. Write down 3 and carry over 6.
- [tex]\(9 \times 3 = 27\)[/tex]. Add the carry-over 6, giving 33. Write down 3 and carry over 3.
- [tex]\(9 \times 1 = 9\)[/tex]. Add the carry-over 3, giving 12. Write down 12.
- This gives you the first partial product: 1233.
3. Multiply by the tens digit of the bottom number (2 in 29):
- Move one position to the left, because you're now multiplying by a tens digit.
- Multiply 2 by each digit of 137, starting from the right.
- [tex]\(2 \times 7 = 14\)[/tex]. Write down 4 and carry over 1.
- [tex]\(2 \times 3 = 6\)[/tex]. Add the carry-over 1, giving 7. Write down 7.
- [tex]\(2 \times 1 = 2\)[/tex]. Write down 2.
- This gives you the second partial product: 2740.
4. Add the partial products:
- Align and add the numbers obtained from each multiplication:
- [tex]\[
\begin{array}{c}
\phantom{1}1233 \\
+\, 2740 \\
\hline
3973 \\
\end{array}
\][/tex]
- Ensure each digit is added correctly under both partial products.
5. The result: The product of 137 and 29 is 3973.
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